Question 2(i)
Simplify and express the result in power notation with positive exponent:

$(- 4)^{5} \div (- 4)^{8}$

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Solution

$(- 4)^{5} \div (- 4)^{8} = (- 4)^{5 - 8} [∵ a^{m} \div a^{n} = a^{m - n}] = (- 4)^{- 3} = \frac{1}{(- 4)^{3}} [∵ a^{- m} = \frac{1}{a^{m}}]$

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Similar questions

(- 4)^{5} \div (- 4)^{8}

Question 2(i)
Simplify and express the result in power notation with positive exponent:

$(- 4)^{5} \div (- 4)^{8}$

Question 2(v)
Simplify and express the result in power notation with positive exponent:

$2^{- 3} \times (- 7)^{- 3}$

Question 2(ii)
Simplify and express the result in power notation with positive exponent:

${(\frac{1}{2^{3}})}^{2}$

Question 2(iv)
Simplify and express the result in power notation with positive exponent:

$(3^{- 7} \div 3^{- 10}) \times 3^{- 5}$

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